{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Python Machine Learning 3rd Edition* by [Sebastian Raschka](https://sebastianraschka.com), Packt Publishing Ltd. 2019\n",
    "\n",
    "Code Repository: https://github.com/rasbt/python-machine-learning-book-3rd-edition\n",
    "\n",
    "Code License: [MIT License](https://github.com/rasbt/python-machine-learning-book-3rd-edition/blob/master/LICENSE.txt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python Machine Learning - Code Examples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 10 - Predicting Continuous Target Variables with Regression Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the optional watermark extension is a small IPython notebook plugin that I developed to make the code reproducible. You can just skip the following line(s)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Author: Sebastian Raschka\n",
      "\n",
      "Last updated: 2022-03-29\n",
      "\n",
      "Python implementation: CPython\n",
      "Python version       : 3.9.7\n",
      "IPython version      : 8.0.1\n",
      "\n",
      "numpy     : 1.22.1\n",
      "pandas    : 1.4.0\n",
      "matplotlib: 3.5.1\n",
      "sklearn   : 1.0.2\n",
      "mlxtend   : 0.19.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -a \"Sebastian Raschka\" -u -d -v -p numpy,pandas,matplotlib,sklearn,mlxtend"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*The use of `watermark` is optional. You can install this IPython extension via \"`pip install watermark`\". For more information, please see: https://github.com/rasbt/watermark.*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The mlxtend package (http://rasbt.github.io/mlxtend/), which contains a few useful functions on top of scikit-learn and matplotloib, can be installed via \n",
    "\n",
    "    conda install mlxtend\n",
    "\n",
    "or \n",
    "\n",
    "    pip install mlxtend"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Overview"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- [Introducing regression](#Introducing-linear-regression)\n",
    "  - [Simple linear regression](#Simple-linear-regression)\n",
    "- [Exploring the Housing Dataset](#Exploring-the-Housing-Dataset)\n",
    "  - [Loading the Housing dataset into a data frame](Loading-the-Housing-dataset-into-a-data-frame)\n",
    "  - [Visualizing the important characteristics of a dataset](#Visualizing-the-important-characteristics-of-a-dataset)\n",
    "- [Implementing an ordinary least squares linear regression model](#Implementing-an-ordinary-least-squares-linear-regression-model)\n",
    "  - [Solving regression for regression parameters with gradient descent](#Solving-regression-for-regression-parameters-with-gradient-descent)\n",
    "  - [Estimating the coefficient of a regression model via scikit-learn](#Estimating-the-coefficient-of-a-regression-model-via-scikit-learn)\n",
    "- [Fitting a robust regression model using RANSAC](#Fitting-a-robust-regression-model-using-RANSAC)\n",
    "- [Evaluating the performance of linear regression models](#Evaluating-the-performance-of-linear-regression-models)\n",
    "- [Using regularized methods for regression](#Using-regularized-methods-for-regression)\n",
    "- [Turning a linear regression model into a curve - polynomial regression](#Turning-a-linear-regression-model-into-a-curve---polynomial-regression)\n",
    "  - [Modeling nonlinear relationships in the Housing Dataset](#Modeling-nonlinear-relationships-in-the-Housing-Dataset)\n",
    "  - [Dealing with nonlinear relationships using random forests](#Dealing-with-nonlinear-relationships-using-random-forests)\n",
    "    - [Decision tree regression](#Decision-tree-regression)\n",
    "    - [Random forest regression](#Random-forest-regression)\n",
    "- [Summary](#Summary)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from IPython.display import Image\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introducing linear regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple linear regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 3,
     "metadata": {
      "image/png": {
       "width": 500
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='images/10_01.png', width=500) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multiple linear regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {
      "image/png": {
       "width": 500
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='images/10_15.png', width=500) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring the Housing dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading the Housing dataset into a data frame"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Description, which was previously available at: [https://archive.ics.uci.edu/ml/datasets/Housing](https://archive.ics.uci.edu/ml/datasets/Housing)\n",
    "\n",
    "Attributes:\n",
    "    \n",
    "<pre>\n",
    "1. CRIM      per capita crime rate by town\n",
    "2. ZN        proportion of residential land zoned for lots over \n",
    "                 25,000 sq.ft.\n",
    "3. INDUS     proportion of non-retail business acres per town\n",
    "4. CHAS      Charles River dummy variable (= 1 if tract bounds \n",
    "                 river; 0 otherwise)\n",
    "5. NOX       nitric oxides concentration (parts per 10 million)\n",
    "6. RM        average number of rooms per dwelling\n",
    "7. AGE       proportion of owner-occupied units built prior to 1940\n",
    "8. DIS       weighted distances to five Boston employment centres\n",
    "9. RAD       index of accessibility to radial highways\n",
    "10. TAX      full-value property-tax rate per $10,000\n",
    "11. PTRATIO  pupil-teacher ratio by town\n",
    "12. B        1000(Bk - 0.63)^2 where Bk is the proportion of blacks \n",
    "                 by town\n",
    "13. LSTAT    % lower status of the population\n",
    "14. MEDV     Median value of owner-occupied homes in $1000s\n",
    "</pre>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296.0</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n",
       "0  0.00632  18.0   2.31     0  0.538  6.575  65.2  4.0900    1  296.0   \n",
       "1  0.02731   0.0   7.07     0  0.469  6.421  78.9  4.9671    2  242.0   \n",
       "2  0.02729   0.0   7.07     0  0.469  7.185  61.1  4.9671    2  242.0   \n",
       "3  0.03237   0.0   2.18     0  0.458  6.998  45.8  6.0622    3  222.0   \n",
       "4  0.06905   0.0   2.18     0  0.458  7.147  54.2  6.0622    3  222.0   \n",
       "\n",
       "   PTRATIO       B  LSTAT  MEDV  \n",
       "0     15.3  396.90   4.98  24.0  \n",
       "1     17.8  396.90   9.14  21.6  \n",
       "2     17.8  392.83   4.03  34.7  \n",
       "3     18.7  394.63   2.94  33.4  \n",
       "4     18.7  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv('https://raw.githubusercontent.com/rasbt/'\n",
    "                 'python-machine-learning-book-3rd-edition/'\n",
    "                 'master/ch10/housing.data.txt',\n",
    "                 header=None,\n",
    "                 sep='\\s+')\n",
    "\n",
    "df.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS', \n",
    "              'NOX', 'RM', 'AGE', 'DIS', 'RAD', \n",
    "              'TAX', 'PTRATIO', 'B', 'LSTAT', 'MEDV']\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr>\n",
    "\n",
    "### Note:\n",
    "\n",
    "\n",
    "You can find a copy of the housing dataset (and all other datasets used in this book) in the code bundle of this book, which you can use if you are working offline or the UCI server at https://archive.ics.uci.edu/ml/machine-learning-databases/housing/housing.data is temporarily unavailable. For instance, to load the housing dataset from a local directory, you can replace the lines\n",
    "df = pd.read_csv('https://archive.ics.uci.edu/ml/'\n",
    "                 'machine-learning-databases'\n",
    "                 '/housing/housing.data',\n",
    "                 sep='\\s+')\n",
    "in the following code example by \n",
    "df = pd.read_csv('./housing.data',\n",
    "                 sep='\\s+')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing the important characteristics of a dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mlxtend.plotting import scatterplotmatrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 25 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cols = ['LSTAT', 'INDUS', 'NOX', 'RM', 'MEDV']\n",
    "\n",
    "scatterplotmatrix(df[cols].values, figsize=(10, 8), \n",
    "                  names=cols, alpha=0.5)\n",
    "plt.tight_layout()\n",
    "#plt.savefig('images/10_03.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from mlxtend.plotting import heatmap\n",
    "\n",
    "\n",
    "cm = np.corrcoef(df[cols].values.T)\n",
    "hm = heatmap(cm, row_names=cols, column_names=cols)\n",
    "\n",
    "# plt.savefig('images/10_04.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementing an ordinary least squares linear regression model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solving regression for regression parameters with gradient descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "class LinearRegressionGD(object):\n",
    "\n",
    "    def __init__(self, eta=0.001, n_iter=20):\n",
    "        self.eta = eta\n",
    "        self.n_iter = n_iter\n",
    "\n",
    "    def fit(self, X, y):\n",
    "        self.w_ = np.zeros(1 + X.shape[1])\n",
    "        self.cost_ = []\n",
    "\n",
    "        for i in range(self.n_iter):\n",
    "            output = self.net_input(X)\n",
    "            errors = (y - output)\n",
    "            self.w_[1:] += self.eta * X.T.dot(errors)\n",
    "            self.w_[0] += self.eta * errors.sum()\n",
    "            cost = (errors**2).sum() / 2.0\n",
    "            self.cost_.append(cost)\n",
    "        return self\n",
    "\n",
    "    def net_input(self, X):\n",
    "        return np.dot(X, self.w_[1:]) + self.w_[0]\n",
    "\n",
    "    def predict(self, X):\n",
    "        return self.net_input(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = df[['RM']].values\n",
    "y = df['MEDV'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "\n",
    "sc_x = StandardScaler()\n",
    "sc_y = StandardScaler()\n",
    "X_std = sc_x.fit_transform(X)\n",
    "y_std = sc_y.fit_transform(y[:, np.newaxis]).flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<__main__.LinearRegressionGD at 0x16081c3a0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr = LinearRegressionGD()\n",
    "lr.fit(X_std, y_std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(1, lr.n_iter+1), lr.cost_)\n",
    "plt.ylabel('SSE')\n",
    "plt.xlabel('Epoch')\n",
    "#plt.tight_layout()\n",
    "#plt.savefig('images/10_05.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lin_regplot(X, y, model):\n",
    "    plt.scatter(X, y, c='steelblue', edgecolor='white', s=70)\n",
    "    plt.plot(X, model.predict(X), color='black', lw=2)    \n",
    "    return "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lin_regplot(X_std, y_std, lr)\n",
    "plt.xlabel('Average number of rooms [RM] (standardized)')\n",
    "plt.ylabel('Price in $1000s [MEDV] (standardized)')\n",
    "\n",
    "#plt.savefig('images/10_06.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 0.695\n",
      "Intercept: -0.000\n"
     ]
    }
   ],
   "source": [
    "print('Slope: %.3f' % lr.w_[1])\n",
    "print('Intercept: %.3f' % lr.w_[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price in $1000s: 10.840\n"
     ]
    }
   ],
   "source": [
    "from distutils.version import LooseVersion\n",
    "import sklearn\n",
    "\n",
    "\n",
    "num_rooms_std = sc_x.transform(np.array([[5.0]]))\n",
    "price_std = lr.predict(num_rooms_std)\n",
    "\n",
    "if LooseVersion(sklearn.__version__) >= LooseVersion('0.23.0'):\n",
    "    print(\"Price in $1000s: %.3f\" % sc_y.inverse_transform(price_std[:, np.newaxis]).flatten())\n",
    "else:\n",
    "    print(\"Price in $1000s: %.3f\" % sc_y.inverse_transform(price_std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Estimating the coefficient of a regression model via scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 9.102\n",
      "Intercept: -34.671\n"
     ]
    }
   ],
   "source": [
    "slr = LinearRegression()\n",
    "slr.fit(X, y)\n",
    "y_pred = slr.predict(X)\n",
    "print('Slope: %.3f' % slr.coef_[0])\n",
    "print('Intercept: %.3f' % slr.intercept_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lin_regplot(X, y, slr)\n",
    "plt.xlabel('Average number of rooms [RM]')\n",
    "plt.ylabel('Price in $1000s [MEDV]')\n",
    "\n",
    "#plt.savefig('images/10_07.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Normal Equations** alternative:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 9.102\n",
      "Intercept: -34.671\n"
     ]
    }
   ],
   "source": [
    "# adding a column vector of \"ones\"\n",
    "Xb = np.hstack((np.ones((X.shape[0], 1)), X))\n",
    "w = np.zeros(X.shape[1])\n",
    "z = np.linalg.inv(np.dot(Xb.T, Xb))\n",
    "w = np.dot(z, np.dot(Xb.T, y))\n",
    "\n",
    "print('Slope: %.3f' % w[1])\n",
    "print('Intercept: %.3f' % w[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fitting a robust regression model using RANSAC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sebastian/miniforge3/lib/python3.9/site-packages/sklearn/linear_model/_ransac.py:354: FutureWarning: The loss 'absolute_loss' was deprecated in v1.0 and will be removed in version 1.2. Use `loss='absolute_error'` which is equivalent.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import RANSACRegressor\n",
    "\n",
    "ransac = RANSACRegressor(LinearRegression(), \n",
    "                         max_trials=100, \n",
    "                         min_samples=50, \n",
    "                         loss='absolute_loss', \n",
    "                         residual_threshold=5.0, \n",
    "                         random_state=0)\n",
    "\n",
    "\n",
    "ransac.fit(X, y)\n",
    "\n",
    "inlier_mask = ransac.inlier_mask_\n",
    "outlier_mask = np.logical_not(inlier_mask)\n",
    "\n",
    "line_X = np.arange(3, 10, 1)\n",
    "line_y_ransac = ransac.predict(line_X[:, np.newaxis])\n",
    "plt.scatter(X[inlier_mask], y[inlier_mask],\n",
    "            c='steelblue', edgecolor='white', \n",
    "            marker='o', label='Inliers')\n",
    "plt.scatter(X[outlier_mask], y[outlier_mask],\n",
    "            c='limegreen', edgecolor='white', \n",
    "            marker='s', label='Outliers')\n",
    "plt.plot(line_X, line_y_ransac, color='black', lw=2)   \n",
    "plt.xlabel('Average number of rooms [RM]')\n",
    "plt.ylabel('Price in $1000s [MEDV]')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "#plt.savefig('images/10_08.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 10.735\n",
      "Intercept: -44.089\n"
     ]
    }
   ],
   "source": [
    "print('Slope: %.3f' % ransac.estimator_.coef_[0])\n",
    "print('Intercept: %.3f' % ransac.estimator_.intercept_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Evaluating the performance of linear regression models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X = df.iloc[:, :-1].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, test_size=0.3, random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "slr = LinearRegression()\n",
    "\n",
    "slr.fit(X_train, y_train)\n",
    "y_train_pred = slr.predict(X_train)\n",
    "y_test_pred = slr.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy as sp\n",
    "\n",
    "ary = np.array(range(100000))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "63.8 µs ± 1.31 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit np.linalg.norm(ary)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "63.8 µs ± 1.79 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit sp.linalg.norm(ary)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "72 µs ± 4.69 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit np.sqrt(np.sum(ary**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(y_train_pred,  y_train_pred - y_train,\n",
    "            c='steelblue', marker='o', edgecolor='white',\n",
    "            label='Training data')\n",
    "plt.scatter(y_test_pred,  y_test_pred - y_test,\n",
    "            c='limegreen', marker='s', edgecolor='white',\n",
    "            label='Test data')\n",
    "plt.xlabel('Predicted values')\n",
    "plt.ylabel('Residuals')\n",
    "plt.legend(loc='upper left')\n",
    "plt.hlines(y=0, xmin=-10, xmax=50, color='black', lw=2)\n",
    "plt.xlim([-10, 50])\n",
    "plt.tight_layout()\n",
    "\n",
    "# plt.savefig('images/10_09.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE train: 19.958, test: 27.196\n",
      "R^2 train: 0.765, test: 0.673\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import r2_score\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "        mean_squared_error(y_train, y_train_pred),\n",
    "        mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "        r2_score(y_train, y_train_pred),\n",
    "        r2_score(y_test, y_test_pred)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using regularized methods for regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.11311792  0.04725111 -0.03992527  0.96478874 -0.          3.72289616\n",
      " -0.02143106 -1.23370405  0.20469    -0.0129439  -0.85269025  0.00795847\n",
      " -0.52392362]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import Lasso\n",
    "\n",
    "lasso = Lasso(alpha=0.1)\n",
    "lasso.fit(X_train, y_train)\n",
    "y_train_pred = lasso.predict(X_train)\n",
    "y_test_pred = lasso.predict(X_test)\n",
    "print(lasso.coef_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE train: 20.926, test: 28.876\n",
      "R^2 train: 0.753, test: 0.653\n"
     ]
    }
   ],
   "source": [
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "        mean_squared_error(y_train, y_train_pred),\n",
    "        mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "        r2_score(y_train, y_train_pred),\n",
    "        r2_score(y_test, y_test_pred)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ridge regression:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import Ridge\n",
    "ridge = Ridge(alpha=1.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "LASSO regression:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import Lasso\n",
    "lasso = Lasso(alpha=1.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Elastic Net regression:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import ElasticNet\n",
    "elanet = ElasticNet(alpha=1.0, l1_ratio=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Turning a linear regression model into a curve - polynomial regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.array([258.0, 270.0, 294.0, \n",
    "              320.0, 342.0, 368.0, \n",
    "              396.0, 446.0, 480.0, 586.0])\\\n",
    "             [:, np.newaxis]\n",
    "\n",
    "y = np.array([236.4, 234.4, 252.8, \n",
    "              298.6, 314.2, 342.2, \n",
    "              360.8, 368.0, 391.2,\n",
    "              390.8])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "\n",
    "lr = LinearRegression()\n",
    "pr = LinearRegression()\n",
    "quadratic = PolynomialFeatures(degree=2)\n",
    "X_quad = quadratic.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fit linear features\n",
    "lr.fit(X, y)\n",
    "X_fit = np.arange(250, 600, 10)[:, np.newaxis]\n",
    "y_lin_fit = lr.predict(X_fit)\n",
    "\n",
    "# fit quadratic features\n",
    "pr.fit(X_quad, y)\n",
    "y_quad_fit = pr.predict(quadratic.fit_transform(X_fit))\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X, y, label='Training points')\n",
    "plt.plot(X_fit, y_lin_fit, label='Linear fit', linestyle='--')\n",
    "plt.plot(X_fit, y_quad_fit, label='Quadratic fit')\n",
    "plt.xlabel('Explanatory variable')\n",
    "plt.ylabel('Predicted or known target values')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.tight_layout()\n",
    "#plt.savefig('images/10_11.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_lin_pred = lr.predict(X)\n",
    "y_quad_pred = pr.predict(X_quad)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training MSE linear: 569.780, quadratic: 61.330\n",
      "Training R^2 linear: 0.832, quadratic: 0.982\n"
     ]
    }
   ],
   "source": [
    "print('Training MSE linear: %.3f, quadratic: %.3f' % (\n",
    "        mean_squared_error(y, y_lin_pred),\n",
    "        mean_squared_error(y, y_quad_pred)))\n",
    "print('Training R^2 linear: %.3f, quadratic: %.3f' % (\n",
    "        r2_score(y, y_lin_pred),\n",
    "        r2_score(y, y_quad_pred)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Modeling nonlinear relationships in the Housing Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "regr = LinearRegression()\n",
    "\n",
    "# create quadratic features\n",
    "quadratic = PolynomialFeatures(degree=2)\n",
    "cubic = PolynomialFeatures(degree=3)\n",
    "X_quad = quadratic.fit_transform(X)\n",
    "X_cubic = cubic.fit_transform(X)\n",
    "\n",
    "# fit features\n",
    "X_fit = np.arange(X.min(), X.max(), 1)[:, np.newaxis]\n",
    "\n",
    "regr = regr.fit(X, y)\n",
    "y_lin_fit = regr.predict(X_fit)\n",
    "linear_r2 = r2_score(y, regr.predict(X))\n",
    "\n",
    "regr = regr.fit(X_quad, y)\n",
    "y_quad_fit = regr.predict(quadratic.fit_transform(X_fit))\n",
    "quadratic_r2 = r2_score(y, regr.predict(X_quad))\n",
    "\n",
    "regr = regr.fit(X_cubic, y)\n",
    "y_cubic_fit = regr.predict(cubic.fit_transform(X_fit))\n",
    "cubic_r2 = r2_score(y, regr.predict(X_cubic))\n",
    "\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X, y, label='Training points', color='lightgray')\n",
    "\n",
    "plt.plot(X_fit, y_lin_fit, \n",
    "         label='Linear (d=1), $R^2=%.2f$' % linear_r2, \n",
    "         color='blue', \n",
    "         lw=2, \n",
    "         linestyle=':')\n",
    "\n",
    "plt.plot(X_fit, y_quad_fit, \n",
    "         label='Quadratic (d=2), $R^2=%.2f$' % quadratic_r2,\n",
    "         color='red', \n",
    "         lw=2,\n",
    "         linestyle='-')\n",
    "\n",
    "plt.plot(X_fit, y_cubic_fit, \n",
    "         label='Cubic (d=3), $R^2=%.2f$' % cubic_r2,\n",
    "         color='green', \n",
    "         lw=2, \n",
    "         linestyle='--')\n",
    "\n",
    "plt.xlabel('% lower status of the population [LSTAT]')\n",
    "plt.ylabel('Price in $1000s [MEDV]')\n",
    "plt.legend(loc='upper right')\n",
    "\n",
    "#plt.savefig('images/10_12.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Transforming the dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "# transform features\n",
    "X_log = np.log(X)\n",
    "y_sqrt = np.sqrt(y)\n",
    "\n",
    "# fit features\n",
    "X_fit = np.arange(X_log.min()-1, X_log.max()+1, 1)[:, np.newaxis]\n",
    "\n",
    "regr = regr.fit(X_log, y_sqrt)\n",
    "y_lin_fit = regr.predict(X_fit)\n",
    "linear_r2 = r2_score(y_sqrt, regr.predict(X_log))\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X_log, y_sqrt, label='Training points', color='lightgray')\n",
    "\n",
    "plt.plot(X_fit, y_lin_fit, \n",
    "         label='Linear (d=1), $R^2=%.2f$' % linear_r2, \n",
    "         color='blue', \n",
    "         lw=2)\n",
    "\n",
    "plt.xlabel('log(% lower status of the population [LSTAT])')\n",
    "plt.ylabel('$\\sqrt{Price \\; in \\; \\$1000s \\; [MEDV]}$')\n",
    "plt.legend(loc='lower left')\n",
    "\n",
    "plt.tight_layout()\n",
    "#plt.savefig('images/10_13.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dealing with nonlinear relationships using random forests"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decision tree regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeRegressor\n",
    "\n",
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "tree = DecisionTreeRegressor(max_depth=3)\n",
    "tree.fit(X, y)\n",
    "\n",
    "sort_idx = X.flatten().argsort()\n",
    "\n",
    "lin_regplot(X[sort_idx], y[sort_idx], tree)\n",
    "plt.xlabel('% lower status of the population [LSTAT]')\n",
    "plt.ylabel('Price in $1000s [MEDV]')\n",
    "#plt.savefig('images/10_14.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random forest regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = df.iloc[:, :-1].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, test_size=0.4, random_state=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sebastian/miniforge3/lib/python3.9/site-packages/sklearn/ensemble/_forest.py:396: FutureWarning: Criterion 'mse' was deprecated in v1.0 and will be removed in version 1.2. Use `criterion='squared_error'` which is equivalent.\n",
      "  warn(\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE train: 1.644, test: 11.085\n",
      "R^2 train: 0.979, test: 0.877\n"
     ]
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "forest = RandomForestRegressor(n_estimators=1000, \n",
    "                               criterion='mse', \n",
    "                               random_state=1, \n",
    "                               n_jobs=-1)\n",
    "forest.fit(X_train, y_train)\n",
    "y_train_pred = forest.predict(X_train)\n",
    "y_test_pred = forest.predict(X_test)\n",
    "\n",
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "        mean_squared_error(y_train, y_train_pred),\n",
    "        mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "        r2_score(y_train, y_train_pred),\n",
    "        r2_score(y_test, y_test_pred)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(y_train_pred,  \n",
    "            y_train_pred - y_train, \n",
    "            c='steelblue',\n",
    "            edgecolor='white',\n",
    "            marker='o', \n",
    "            s=35,\n",
    "            alpha=0.9,\n",
    "            label='Training data')\n",
    "plt.scatter(y_test_pred,  \n",
    "            y_test_pred - y_test, \n",
    "            c='limegreen',\n",
    "            edgecolor='white',\n",
    "            marker='s', \n",
    "            s=35,\n",
    "            alpha=0.9,\n",
    "            label='Test data')\n",
    "\n",
    "plt.xlabel('Predicted values')\n",
    "plt.ylabel('Residuals')\n",
    "plt.legend(loc='upper left')\n",
    "plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='black')\n",
    "plt.xlim([-10, 50])\n",
    "plt.tight_layout()\n",
    "\n",
    "#plt.savefig('images/10_15.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "Readers may ignore the next cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[NbConvertApp] Converting notebook ch10.ipynb to script\n",
      "[NbConvertApp] Writing 19059 bytes to ch10.py\n"
     ]
    }
   ],
   "source": [
    "! python ../.convert_notebook_to_script.py --input ch10.ipynb --output ch10.py"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
